3543640400 has 30 divisors (see below), whose sum is σ = 8513597022. Its totient is φ = 1417456000.

The previous prime is 3543640393. The next prime is 3543640409. The reversal of 3543640400 is 40463453.

3543640400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 184742464 + 3358897936 = 13592^2 + 57956^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3543640409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4429151 + ... + 4429950.

Almost surely, 2^3543640400 is an apocalyptic number.

It is an amenable number.

3543640400 is an abundant number, since it is smaller than the sum of its proper divisors (4969956622).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3543640400 is a wasteful number, since it uses less digits than its factorization.

3543640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8859119 (or 8859108 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 3543640400 is about 59528.4839383635. The cubic root of 3543640400 is about 1524.5788176647.

The spelling of 3543640400 in words is "three billion, five hundred forty-three million, six hundred forty thousand, four hundred".